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Finding the Fourth Proportional to 292,309.90, 438,432.45 and 81,969.10

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Solution

The fourth proportional to 292,309.90, 438,432.45 and 81,969.10 is: 122,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,309.90 : 438,432.45 = 81,969.10 : x
  2. Step 2: Convert to fraction form
    292,309.90/438,432.45 = 81,969.10/x
  3. Step 3: Cross multiply
    292,309.90x = 438,432.45 × 81,969.10
  4. Step 4: Simplify right side
    292,309.90x = 35,937,913,337.30
  5. Step 5: Solve for x
    x = 35,937,913,337.30/292,309.90
  6. Step 6: Final answer
    x = 122,944.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.